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Finding the Fourth Proportional to 9,714, 14,559.48 and 4,443

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Solution

The fourth proportional to 9,714, 14,559.48 and 4,443 is: 6,659.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714 : 14,559.48 = 4,443 : x
  2. Step 2: Convert to fraction form
    9,714/14,559.48 = 4,443/x
  3. Step 3: Cross multiply
    9,714x = 14,559.48 × 4,443
  4. Step 4: Simplify right side
    9,714x = 64,687,769.64
  5. Step 5: Solve for x
    x = 64,687,769.64/9,714
  6. Step 6: Final answer
    x = 6,659.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.